Inequalities help (1 Viewer)

[Lima_bosty]

Hey guys,

How do I solve this question?



Thank you

 

[carrotsss]

If 2x/(x+1) is less than 1 and more than -1 then that means that (x+1) must be bigger than 2x or bigger than -2x

 

[Drongoski]

Your x must satisfy these 2 inequalities simultaneously:



For the 1st, you need:



if I'm not mistaken.

Note: I've not shown how to obtain those ranges for the 2 individual inequalities. You can
do them in the usual way, or as I've myself done, by the method of Sign Diagrams.

 

[Lima_bosty]

Your x must satisfy these 2 inequalities simultaneously:



For the 1st, you need:



if I'm not mistaken.

Note: I've not shown how to obtain those ranges for the 2 individual inequalities. You can
do them in the usual way, or as I've myself done, by the method of Sign Diagrams.

Yes that’s correct but how did you combine the 2 answers

 

[Lima_bosty]

You can draw x < -1 and x > -1/3 on a number line and find the values of x that overlap, which would be -1/3 < x < 1

Oh okay makes sense now thank you so much.

 

[Drongoski]

You can say: the answer is the intersection of the 2 solution sets.